Well, there are lots of threads on building your own fliers. It is something a lot of people do. It seems we are in a more-or-less private conversation here. Maybe I should have let others jump in...
Actually, I just went back to the top of the thread and reread what you asked. I was mistaken about the question. When you said 'wing' and 'straight across', I thought you meant a straight (no sweepback) flying wing. I now see you add 'the whole plane' towards the end...
In that case, I need to back up a bit. The airfoils I posted pictures of were reflexed for stabilizing tailless flying wings. If you are thinking about a conventional aircraft with tail feathers, then, no, you don't want reflex.
What the airfoil should look like depends what you want the airplane to do. Slow fliers can have a curved wing made of a single layer of foam. The high undercamber slows the plane down.
For general knocking about the park, a built up, flat bottom airfoil is fine.
For aerobatics and inverted flight, the wing should be symmetrical (top and bottom the same curve).
Since you've asked a very basic question, I would guess this might be your first scratch-built plane. Before you decide to design your own, you might want to look closely at some proven designs and take your cue from them.
Go to Hipps's (Dan's) website
http://www.foamfly.com and look in the 'Picture Gallery' | 'Share your Photos Here'. On page 6, look at 'Glen`s BlueCor pictures & PLANS!' (or just go direct:
http://www.foamfly.com/gallery/view_...albumName=Glen). There are a bunch of odd-ball fliers in there. The "Pete" is an easy to build, good flying plane, and it is built out of either BluCor or Depron. It takes just a few hours to cut out and assemble and is very durable. Once you have one built, then use it a test bed to try different ideas. Cover the bottom of the wing with film to see what a flat bottom wing acts like compared ti undercambered, etc.
I am primarily interested in building micro models in the 1 ounce range. Click on the 'www' link at the bottom of this post to go to my web site for pictures of a few of them.
Currently, I am pretty happy with depron as a building material. It is very light, easy to work with, stiff and resiliant. Check the out the 'Petite Pete' on my micros page; it is depron. It is a half-sized version of the Pete in Glen's album, and it is a super flier...